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Jane, a learner from Mambo SSS sells fat cakes her mother bakes at home - NSC Mathematical Literacy - Question 5 - 2016 - Paper 1
Question 5
Jane, a learner from Mambo SSS sells fat cakes her mother bakes at home. She calculated the cost of the ingredients that is needed to make one fat cake as follows: ... show full transcript
Worked Solution & Example Answer:Jane, a learner from Mambo SSS sells fat cakes her mother bakes at home - NSC Mathematical Literacy - Question 5 - 2016 - Paper 1
Step 1
5.1.1 Calculate the variable cost for making one fat cake.
Answer
To calculate the variable cost for making one fat cake, we will sum the costs of the ingredients and the labour cost:
- Bread flour: R0,70
- Sugar: R0,75
- Salt: R0,20
- Instant yeast: R0,20
- Water: R0,05
- Oil for deep frying: R0,50
- Labour: R0,25
Now, adding these amounts together:
egin{align*} ext{Total variable cost} &= 0,70 + 0,75 + 0,20 + 0,20 + 0,05 + 0,50 + 0,25 \ &= R2,50 \end{align*}
Thus, the variable cost for making one fat cake is R2,50.
Step 2
5.1.2 The table below shows information for the income and expenses for fat cakes.
Answer
The table provided shows both total costs and income for different quantities of fat cakes. To find the breakeven point, we need to identify when total income equals total cost. By checking the values:
- For 90 fat cakes:
- Total Cost: R350
- Income: R360
At 90 fat cakes, the income exceeds the cost. The breakeven point lies between 60 and 90 fat cakes. Inspecting further shows:
- For 60 fat cakes:
- Total Cost: R250
- Income: R270
Thus, the number of fat cakes that Jane must sell to breakeven is 90 fat cakes.
Step 3
5.1.3 Using the graph or otherwise determine the number of fat cakes she must sell to breakeven.
Answer
To draw the line graph based on the table provided:
- Plot the total cost (y-axis) against the number of fat cakes (x-axis).
- For the income line, similarly plot income against the number of fat cakes.
- Identify the point where the two lines intersect. This point indicates the breakeven number of fat cakes.
From the table and graph, we concluded that Jane must sell approximately 90 fat cakes to achieve breakeven.